Finding the Third Proportional to 81,782.50 and 166,572

Step by Step Solution

1. Step 1: Write the proportion equation
   81,782.50 : 166,572 = 166,572 : x
2. Step 2: Convert to fraction form
   81,782.50/166,572 = 166,572/x
3. Step 3: Cross multiply
   81,782.50x = 166,572 × 166,572
4. Step 4: Simplify right side
   81,782.50x = 27,746,231,184
5. Step 5: Solve for x
   x = 27,746,231,184/81,782.50
6. Step 6: Final answer
   x = 339,268.56